论文标题
社交网络中等价的统一框架
A unified framework for equivalences in social networks
论文作者
论文摘要
网络分析的关键问题是研究网络中参与者的社会立场和角色。 “位置”的概念是指与其他节点具有相似联系的等效节点类别，而“角色”是连接相同节点的等效化合物类别的等效类别。网络科学中的一个开放问题是是否可以同时执行角色和位置分析。在类别理论中的功能性原则的推动下，我们提出了一种新方法，允许将角色和位置分析联系在一起。我们说明了网络科学中两个经过良好研究的数据集的方法。
A key concern in network analysis is the study of social positions and roles of actors in a network. The notion of "position" refers to an equivalence class of nodes that have similar ties to other nodes, whereas a "role" is an equivalence class of compound relations that connect the same pairs of nodes. An open question in network science is whether it is possible to simultaneously perform role and positional analysis. Motivated by the principle of functoriality in category theory we propose a new method that allows to tie role and positional analysis together. We illustrate our methods on two well-studied data sets in network science.
